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Finding the Fourth Proportional to 5,064.56, 7,591.71 and 2,428.20

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Solution

The fourth proportional to 5,064.56, 7,591.71 and 2,428.20 is: 3,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.56 : 7,591.71 = 2,428.20 : x
  2. Step 2: Convert to fraction form
    5,064.56/7,591.71 = 2,428.20/x
  3. Step 3: Cross multiply
    5,064.56x = 7,591.71 × 2,428.20
  4. Step 4: Simplify right side
    5,064.56x = 18,434,190.22
  5. Step 5: Solve for x
    x = 18,434,190.22/5,064.56
  6. Step 6: Final answer
    x = 3,639.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.